7.13.9Transformer impedances#
The necessary transformer characteristics can be determined from the transformer type, size, and percentage impedance.
The transformer full load secondary current in amps per phase is:
I fl = kVA x 1000 / (3 x 400)
where
kVA is the transformer rating.
Prospective short circuit current in amps per phase at the secondary terminals is:
I sc = I fl / Z%
where
Z% is transformer percentage impedance.
Transformer impedance in Ohms is:
Z = V / I sc
The assumed phase angle for the impedance is 72.5°, which relates to recommended practice for a transformer with capacity of less than 2 MVA (Standards Australia Handbook HB301 p50).
Transformer resistance in Ohms is:
R = Z cos (72.5°)
Transformer reactance in Ohms is:
X = Z sin (72.5°)
The following transformer data was extracted from Energex Technical Instruction TSD0024c.
| Type | Size (KVA) | Impedance (%) | Mass (kg) |
|---|---|---|---|
| Pole mount | 10* | 4 | <190 |
| Pole mount | 25 | 3.3 | 196 |
| Pole mount | 25 | 3.3 | 500 |
| Pole mount | 49 | 4 | 520 |
| Pole mount | 63 | 4 | 600 |
| Pole mount | 100 | 4 | 710 |
| Pole mount | 200 | 4 | 1080 |
| Pole mount | 315 | 4 | 1410 |
| Pole mount | 500 | 4 | 1990 |
| Padmount square | 315 | 4 | 3835 |
| Padmount square | 500 | 4 | 4160 |
| Padmount square | 750 | 5 | 5200 |
| Padmount square | 1000 | 5 | 5500 |
| Padmount rectangular | 315 | 4 | 2935 |
| Padmount rectangular | 500 | 4 | 3740 |
| Padmount rectangular | 750 | 5 | 4270 |
| Padmount rectangular | 1000 | 5 | 4915 |
| Ground mount | 100 | 4 | 1325 |
| Ground mount | 315 | 4 | 1730 |
| Ground mount | 750 | 5 | 3170 |
| Ground mount | 1000 | 5 | 4040 |
| Ground mount | 1500 | 6.25 | 4760 |
| Ground mount | 1500 | 9.75 | 6080 |
| Dry type | 315 | 4 | 1230 |
| Dry type | 500 | 4 | 1550 |
| Dry type | 750 | 6 | 2000 |
| Dry type | 1000 | 6 | 2370 |
| Dry type | 1500 | 6 | 3300 |
From the standard transformer data and the formula provided, the typical transformer characteristics can be calculated as shown here:
| Rating | Z% | Ifl (A) | Isc (A) | Z (Ω) | R (Ω) | X (Ω) |
|---|---|---|---|---|---|---|
| 10* | 4 | 14 | 361 | 0.640000 | 0.192452 | 0.610379 |
| 25 | 3.3 | 36 | 1093 | 0.211200 | 0.063509 | 0.201425 |
| 49 | 4.0 | 71 | 1768 | 0.130612 | 0.039276 | 0.124567 |
| 63 | 4.0 | 91 | 2273 | 0.101587 | 0.030548 | 0.096886 |
| 100 | 4.0 | 144 | 3608 | 0.064000 | 0.019245 | 0.061038 |
| 200 | 4.0 | 289 | 7217 | 0.032000 | 0.009623 | 0.030519 |
| 315 | 4.0 | 455 | 11367 | 0.020317 | 0.006110 | 0.019377 |
| 500 | 4.0 | 722 | 18042 | 0.012800 | 0.003849 | 0.012208 |
| 750 | 5.0 | 1083 | 21651 | 0.010667 | 0.003208 | 0.010173 |
| 750 | 6.0 | 1083 | 18042 | 0.012800 | 0.003849 | 0.012208 |
| 1000 | 5.0 | 1443 | 28868 | 0.008000 | 0.002406 | 0.007630 |
| 1000 | 6.0 | 1443 | 24056 | 0.009600 | 0.002887 | 0.009156 |
| 1500 | 6.0 | 2165 | 36084 | 0.006400 | 0.001925 | 0.006104 |
| 1500 | 6.25 | 2165 | 34641 | 0.006667 | 0.002005 | 0.006358 |